document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255132>Question 255132</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The credit score of a 35 year old applying for a mortgage is normally distributed with a mean of 600 abd a standard deviation of 100. \r<BR>\n" );
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document.write( "A) Find the credit score that defines the upper 5 percent.\r<BR>\n" );
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document.write( "B) Seventy- five percent of customers will have a credit score higher than what value?\r<BR>\n" );
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document.write( "C) In what range would the middle 80 percent of credit scores lie. \r<BR>\n" );
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document.write( "Please help! thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187555 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=187555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The credit score of a 35 year old applying for a mortgage is normally distributed with a mean of 600 abd a standard deviation of 100.<BR>\n" );
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document.write( "A) Find the credit score that defines the upper 5 percent.<BR>\n" );
document.write( "The cutoff z-score is 1.645<BR>\n" );
document.write( "Use x = zs+u to find the raw score.<BR>\n" );
document.write( "x = 1.645*100+600<BR>\n" );
document.write( "x = 164.5+600<BR>\n" );
document.write( "x = 764.5<BR>\n" );
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document.write( "B) Seventy- five percent of customers will have a credit score higher than what value? <BR>\n" );
document.write( "That would be the left-tail cutoff for 25%:<BR>\n" );
document.write( "That z is invNorm(0.25) = -0.6745<BR>\n" );
document.write( "x = -0.6745*100+600<BR>\n" );
document.write( "x = -67.45+600<BR>\n" );
document.write( "x = 532.55<BR>\n" );
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document.write( "C) In what range would the middle 80 percent of credit scores lie.<BR>\n" );
document.write( "That is a left-tail cutoff at 10% and a right-tail cutoff at 90%<BR>\n" );
document.write( "z = invNorm(0.10) = -1.2816 and z = +1.2816<BR>\n" );
document.write( "I'll let you figure out the x values.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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